Compact stars have also been examined and explored in details with the help of modified gravities.
Strong gravity regime in viable models of \(f(R)\)  gravity has been studied [1]} and the claim that
stars with relativistically deep potentials cannot exist in \(f(R)\)  gravity has been disproved [2]}.
Capozziello et al. [3]} considered modified Lane-Emden equation that comes out from \(f(R)\)  gravity and
discussed the hydrostatic equilibrium of stellar structures.
Some interior models of compact stars like \(4U1820-30, Her X-1, SAX J1808-3658\) 
has been studied using Krori and Barua analytical solution to the static spacetime with fluid
source in modified \(f(R)\)  gravity [4]}. Polytropic stars in Palatini \(f(R)\) -theories has also been investigated and it was shown how findings rely on regularity of the function \(f(R)\)  [5]}. The possible formation of compact astrophysical objects and their physical features has been discussed in the framework of \(f(R, T)\)  and \(f(G, T)\)  gravity [6]}-[7]}. Abbas and Nazar [8]}, [9]} discussed the effects of \(f(R)\)  gravity on complexity factor for spherically symmetric static source with anisotropic background.
In [10]}, [11]}, complexity factor has been explored for static anisotropic sources in the context of Brans-Dick theory, while in [12]}, [13]} it has been examined for a dynamical sphere and a class of compact stars in the framework of \(f(R, T)\)  gravity. The physical properties of compact objects were analyzed and their numerical outputs were found for different values of coupling parameter. Keeping in view the significance of modified theories, we intended to explore the definition of complexity factor for a cylindrically symmetric dynamical source with anisotropic fluid distribution in \(f(R,T)\)  gravity.
